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If x = 1- 3t and y = 2t - 1, then for what value of t does x

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If x = 1- 3t and y = 2t - 1, then for what value of t does x  [#permalink]

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New post 24 Sep 2012, 03:56
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Question Stats:

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If x = 1- 3t and y = 2t - 1, then for what value of t does x = y?

(A) 5/2
(B) 3/2
(C) 2/3
(D) 2/5
(E) 0

Practice Questions
Question: 47
Page: 158
Difficulty: 550

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Re: If x = 1- 3t and y = 2t - 1, then for what value of t does x  [#permalink]

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New post 24 Sep 2012, 03:57
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Re: If x = 1- 3t and y = 2t - 1, then for what value of t does x  [#permalink]

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New post 24 Sep 2012, 04:18
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1-3t = 2t-1
-> t= 2/5

Answer D
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Re: If x = 1- 3t and y = 2t - 1, then for what value of t does x  [#permalink]

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New post 24 Sep 2012, 07:45
1
Bunuel wrote:

If x = 1- 3t and y = 2t - 1, then for what value of t does x = y?

(A) 5/2
(B) 3/2
(C) 2/3
(D) 2/5
(E) 0



We are given expressing of x and y in terms of t.
Making both of these equal as x = y

1-3t=2t-1
=> 2 = 5t
=> t = 1/5

Hence D
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Re: If x = 1- 3t and y = 2t - 1, then for what value of t does x  [#permalink]

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New post 28 Sep 2012, 03:31
SOLUTION

If x = 1- 3t and y = 2t - 1, then for what value of t does x = y?

(A) 5/2
(B) 3/2
(C) 2/3
(D) 2/5
(E) 0

Since \(x = y\), then \(1- 3t= 2t - 1\) --> \(5t=2\) --> \(t=\frac{2}{5}\).

Answer: D.

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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re: If x = 1- 3t and y = 2t - 1, then for what value of t does x  [#permalink]

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New post 10 Dec 2012, 03:19
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\(1- 3t = 2t - 1\)
\(2 = 5t\)
\(t = \frac{2}{5}\)

Answer: D
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If x = 1- 3t and y = 2t - 1, then for what value of t does x  [#permalink]

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New post 13 Dec 2013, 01:46
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Re: If x = 1- 3t and y = 2t - 1, then for what value of t does x  [#permalink]

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New post 13 Dec 2013, 10:17
since you are asked to solve for the value at which x = y , set the equations equal to each other and solve.

Your answer should be 2/5, you can plug it back into the original equations to double check if you're not certain.
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Re: If x = 1- 3t and y = 2t - 1, then for what value of t does x  [#permalink]

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New post 10 Sep 2014, 08:13
Bunuel wrote:
If x = 1- 3t and y = 2t - 1, then for what value of t does x = y?

(A) 5/2
(B) 3/2
(C) 2/3
(D) 2/5
(E) 0

Practice Questions
Question: 47
Page: 158
Difficulty: 550



equate x=y

1-3t=2t-1

5t=2

t=2/5
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Re: If x = 1- 3t and y = 2t - 1, then for what value of t does x  [#permalink]

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New post 30 May 2016, 04:17
Bunuel wrote:
If x = 1- 3t and y = 2t - 1, then for what value of t does x = y?

(A) 5/2
(B) 3/2
(C) 2/3
(D) 2/5
(E) 0


We are given x = 1 – 3t and y = 2t – 1, and we need to determine the value for t when x = y. We should notice that both x and y are already in terms of t. Thus, we can substitute 1 – 3t for x and 2t – 1 for y in the equation x = y. This gives us:

1 – 3t = 2t – 1

2 = 5t

2/5 = t

The answer is D.
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Re: If x = 1- 3t and y = 2t - 1, then for what value of t does x  [#permalink]

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New post 27 Jan 2018, 06:25
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x=y ==> so 1-3t = 2t-1 ==> t = 2/5
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Re: If x = 1- 3t and y = 2t - 1, then for what value of t does x &nbs [#permalink] 27 Jan 2018, 06:25
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